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Finding the Fourth Proportional to 78,242.42, 107,974.40 and 42,432.36

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Solution

The fourth proportional to 78,242.42, 107,974.40 and 42,432.36 is: 58,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.42 : 107,974.40 = 42,432.36 : x
  2. Step 2: Convert to fraction form
    78,242.42/107,974.40 = 42,432.36/x
  3. Step 3: Cross multiply
    78,242.42x = 107,974.40 × 42,432.36
  4. Step 4: Simplify right side
    78,242.42x = 4,581,608,611.58
  5. Step 5: Solve for x
    x = 4,581,608,611.58/78,242.42
  6. Step 6: Final answer
    x = 58,556.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.